New numbers from state Comptroller Tom DiNapoli suggest next year’s New York budget battle will be truly brutal: The gap to be closed now looks to be $4.6 billion worse than last projected by Gov. Cuomo’s Division of the Budget.

As the Empire Center’s E.J. McMahon notes, Cuomo has been citing a $4 billion shortfall for the 2018-19 fiscal year, which starts next April — though that actually drops to just $841 million if the gov can manage to stick to his 2 percent cap on the growth in state spending.

But now the combination of spending cuts and tax hikes needed to balance the budget is looking even more brutal, because DiNapoli sees receipts falling short of projections a net $1.8 billion in the current fiscal year and $2.8 billion in the next one, adding up to $4.6 billion.

(The main culprit: unexpectedly low personal-income-tax payments, which look to be short $1.7 billion this fiscal year and $2.5 billion in 2018-19.)

Bottom line: Unless tax collections bounce back, Cuomo and the Legislature are going to have to come up with at least $5.2 billion, and perhaps $8.6 billion — in a year when they’re all up for re-election.

That’s nearly one-tenth of the entire budget, once you deduct federal pass-through money. Batten the hatches.